No. The critical engine is the one you would prefer not to lose if you had a choice. Therefore, according to your book, you would want to keep the downwind engine and have the failed engine on the upwind side. Let's say you have a very strong right crosswind on takeoff and you need a lot of left rudder. Now you lose your right engine (the upwind). Dead foot dead engine. So you would need more left rudder and you might not have enough rudder so I think your book is wrong.

Although, it would be tricky if it was the downwind engine that failed and you had to go from left rudder to right rudder in the middle of the takeoff roll.

What is this Delta test you are studying for?